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Finding the Third Proportional to 104,892 and 157,306

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Solution

The third proportional to 104,892 and 157,306 is: 235,911.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,892 : 157,306 = 157,306 : x
  2. Step 2: Convert to fraction form
    104,892/157,306 = 157,306/x
  3. Step 3: Cross multiply
    104,892x = 157,306 × 157,306
  4. Step 4: Simplify right side
    104,892x = 24,745,177,636
  5. Step 5: Solve for x
    x = 24,745,177,636/104,892
  6. Step 6: Final answer
    x = 235,911.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.